Information on Result #2508957
Linear OOA(8116, 1048598, F8, 2, 18) (dual of [(1048598, 2), 2097080, 19]-NRT-code), using 81 times duplication based on linear OOA(8115, 1048598, F8, 2, 18) (dual of [(1048598, 2), 2097081, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8113, 1048597, F8, 2, 18) (dual of [(1048597, 2), 2097081, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- linear OA(8106, 2097152, F8, 18) (dual of [2097152, 2097046, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(87, 42, F8, 5) (dual of [42, 35, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to Ce(17) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(8113, 2097194, F8, 18) (dual of [2097194, 2097081, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.